Question
What is the area of the trapezoid below?
A right trapezoid is shown.The left side is perpendicular to the bottom and top sides. The top side of the trapezoid is 7 centimeters. The right slanted side is 8 centimeters. A dashed segment connects the top right vertex to the bottom side at a right angle. The distance from the endpoint of the dashed segment to the bottom right vertex is 4 centimeters.
(1 point)
Responses
36Start Root 3 End Root cm²
36 Image with alt text: Start Root 3 End Root cm²
44Start Root 3 End Rootcm²
44 Image with alt text: Start Root 3 End Root cm²
65 cm²
65 cm²
88 cm²
To find the area of the trapezoid, we need to find the height of the trapezoid first.
Since the dashed segment connects the top right vertex to the bottom side at a right angle and the distance from the endpoint of the dashed segment to the bottom right vertex is 4 centimeters, the height of the trapezoid is 4 centimeters.
The formula to find the area of a trapezoid is (base1 + base2) * height / 2.
In this case, base 1 is the top side of the trapezoid which is 7 centimeters, and base 2 is the right slanted side which is 8 centimeters.
So, the area of the trapezoid is (7 + 8) * 4 / 2 = 15 * 4 / 2 = 60 / 2 = 30 cm².
Therefore, the area of the trapezoid is 30 cm².